Hi
I really need your log files to be able to tell you what is really the problem, but allready from your posted stats I am getting an idea.
Just an example:
1847  21 May, 21:22:09    Storbritannien  host213-120-115-68.in-addr.btopenworld.com 4    Windows XP   Explorer 6.0   
1828  21 May, 14:44:03    Storbritannien  host213-120-115-68.in-addr.btopenworld.com 5    Windows XP   Explorer 6.0   
1825  21 May, 13:14:30    Storbritannien  host213-120-115-68.in-addr.btopenworld.com 3    Windows XP   Explorer 6.0 
1819  21 May, 07:44:34    Storbritannien  host213-120-115-68.in-addr.btopenworld.com 3    Windows XP   Explorer 6.0   
Are treated as 4 different unique visitors in your stats, but in reality they are the same guy.
and:
1812  21 May, 05:47:09    De Forenede Stater  cache-rr02.proxy.aol.com 8    Windows XP   AOL 9.0   
1809  21 May, 05:45:55    De Forenede Stater  cache-rr08.proxy.aol.com 4    Windows XP   AOL 9.0   
1810  21 May, 05:45:29    De Forenede Stater  cache-rr04.proxy.aol.com 2    Windows XP   AOL 9.0   
1811  21 May, 05:30:58    De Forenede Stater  cache-rh06.proxy.aol.com 1    Windows XP   AOL 9.0   
Are treated as 4 different visitors in your stats, but in reallity it is 1 unique visitor. AOL users use multiple IPs in the same session.